What 2 square numbers subtract to make 8680?

What two square numbers subtract to make 8680? In other words, when you subtract one square number from another square number, the answer is 8680. What are the two square numbers?

First, note that a square number is what you get when you multiply a number by itself, which means that the square root of a square number will equal a whole number. Thus, this is what we are solving:

A² - B² = 8680

We solved the equation above and found this to be true:

97² - 27² = 8680

97² is 9409 and 27² is 729, therefore the answer to the question "What 2 square numbers subtract to make 8680?" is 9409 and 729 as illustrated below:

9409 - 729 = 8680

Note that there may be more than one solution to a problem like this. Above, we found the lowest combination of square numbers that subtract to 8680. Below we list alternate solutions if available.

10201 - 1521 = 8680
28561 - 19881 = 8680
51529 - 42849 = 8680

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What 2 square numbers subtract to make 8681?
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